Home > Algebra > Equations of Perpendicular Lines

The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?

Answer 1

Isaiah Anthony

#m_("perpendicular")=-1/5#

#y-3=5(x-4)" is in "color(blue)"point-slope form"#

#"that is " y-y_1=m(x-x_1)#

#"where m represents the slope"#

#rArr"slope " =m=5#

#"the slope of a perpendicular line is the"# #color(blue)"negative inverse of m"#

#rArrm_("perpendicular")=-1/5#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

The slope of a line perpendicular to line AB is the negative reciprocal of the slope of line AB. Therefore, the slope of a line perpendicular to line AB is -1/5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.